Collins asymmetries in inclusive charged<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>K</mml:mi><mml:mi>K</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>K</mml:mi><mml:mi>π</mml:mi></mml:mrow></mml:math>pairs produced in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>annihilation

We present measurements of Collins asymmetries in the inclusive process ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{h}_{1}{h}_{2}X$, ${h}_{1}{h}_{2}=KK$, $K\ensuremath{\pi}$, $\ensuremath{\pi}\ensuremath{\pi}$, at the center-of-mass energy of 10.6 GeV, using a data sample of $468\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ collected by the BABAR experiment at the PEP-II $B$ factory at SLAC National Accelerator Center. Considering hadrons in opposite thrust hemispheres of hadronic events, we observe clear azimuthal asymmetries in the ratio of unlike sign to like sign, and unlike sign to all charged ${h}_{1}{h}_{2}$ pairs, which increase with hadron energies. The $K\ensuremath{\pi}$ asymmetries are similar to those measured for the $\ensuremath{\pi}\ensuremath{\pi}$ pairs, whereas those measured for high-energy $KK$ pairs are, in general, larger.